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3394456128 = 26327841879
BaseRepresentation
bin1100101001010011…
…0100101001000000
322202120021020102100
43022110310221000
523422440044003
61320454550400
7150055254360
oct31224645100
98676236370
103394456128
11149209a148
127a8968400
1342133462b
14242b669a0
1514d00eba3
hexca534a40

3394456128 has 84 divisors (see below), whose sum is σ = 11119551040. Its totient is φ = 969843456.

The previous prime is 3394456103. The next prime is 3394456141. The reversal of 3394456128 is 8216544933.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416908 + ... + 424971.

Almost surely, 23394456128 is an apocalyptic number.

It is an amenable number.

3394456128 is an abundant number, since it is smaller than the sum of its proper divisors (7725094912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3394456128 is a wasteful number, since it uses less digits than its factorization.

3394456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841904 (or 841891 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3394456128 is about 58261.9612440227. The cubic root of 3394456128 is about 1502.8768682254.

The spelling of 3394456128 in words is "three billion, three hundred ninety-four million, four hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 841879 1683758 2525637 3367516 5051274 5893153 6735032 7576911 10102548 11786306 13470064 15153822 17679459 20205096 23572612 26940128 30307644 35358918 40410192 47145224 53038377 53880256 60615288 70717836 80820384 94290448 106076754 121230576 141435672 161640768 188580896 212153508 242461152 282871344 377161792 424307016 484922304 565742688 848614032 1131485376 1697228064 3394456128